Casimir效应起源于真空电磁场的涨落，在物理学等基础研究领域都有重大科学意义，在微机电系统等工程技术领域也有重要应用。介质的各向异性可以Casimir效应带来很多新特性，然而当前关于介质各向异性对Casimir效应影响的研究大多未考虑两平行平面之间的区域填充各向异性介质的情况，背景非零电场对Casimir效应的影响也经常被忽略。一旦考虑这些情况，必然给Casimir效应带来很多新的物理特性。因此本项目拟重点研究两个平行平面之间的区域填充的介质的各项异性给Casimir效应尤其是Casimir排斥力带来的新物理。主要包括：计算两平行平面中间区域填充各向异性介质时的Casimir效应，重点关注中间介质的各向异性对Casimir力大小和方向的影响及其物理机制，讨论此时产生排斥力的物理条件。此外，还将分析外电场改变介质各向异性进而对Casimir力大小和方向产生的影响。

Casimir effect, arising from the vacuum electromagnetic fluctuation, plays an important role in variety of fields of physics and fundamental science. It also has broad applications in MEMS and other fields of technology. Anisotropy can bring us new physics about Casimir effect. However, most of current researches on the impact of anisotropy on Casimir effect have not covered the situation that the area between the two plates is not isotropic but anisotropic. And the impact of external electric field on Casimir effect is often ignored, either. These effects can bring us more new physics about Casimir effect. We intend to focus on the impact of the anisotropy of the material between the two plates on Casimir effect, including: calculation of Casimir effect between parallel plates separated by anisotropic media, analyze of the impact of the anisotropy of in-between material on Casimir effect , and discussion of the possibility of repulsive Casimir force in this situation. We will also investigate the influence of external electric field on anisotropy of the material and then further more on Casimir effect.